GCF of 5137/213, 7935/5604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5137/213, 7935/5604 i.e 1/397884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5137/213, 7935/5604.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5137/213,7935/5604?
Given fractions are 5137/213,7935/5604
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5137/213,7935/5604, numerators are 5137,7935
Denominators are 213,5604
The GCF of 5137,7935 is 1 .
LCM of 213,5604 is 397884.
The greatest common factor of 5137/213,7935/5604 = [GCF of 5137,7935]/[LCM of 213,5604]= 1/397884
Therefore, the GCF of 5137/213,7935/5604 is 1/397884.
To find the highest common factor of 5137,7935, we have to find the factors of both numbers and list the highest common factor.
The factors of 5137 are 1, 11, 467, 5137
The factors of 7935 are 1, 3, 5, 15, 23, 69, 115, 345, 529, 1587, 2645, 7935
The HCF of 5137,7935 is 1.
Lets's calculate GCF of 5137,7935
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5137,7935 By Matching Biggest Common Factor Method
Now, list down the factors of 5137
:1,11,467,5137
Now, list down the factors of 7935
:1,3,5,15,23,69,115,345,529,1587,2645,7935
Greatest Common Factor
We found the factors 5137,7935 . The biggest common factor number is the GCF number.
So the greatest common factor 5137,7935 is 1.
Lets's calculate LCM of 213,5604
| 3 | 213, 5604 |
| 71, 1868 |
∴ So the LCM of the given numbers is 3 x 71 x 1868 = 397884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/397884
Therefore, the GCF of Fractions 5137/213,7935/5604 is 1/397884
Least Common Multiple of 213,5604 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 213,5604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,5604) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(213,5604) x common factors =3 x 1 = 3
LCM(213,5604) = ( 213 × 5604 ) / 3
LCM(213,5604) = 1193652 / 3
LCM(213,5604) = 397884
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FAQs on GCF of Fractions of 5137/213, 7935/5604
1. What is the HCF of 5137,7935?
The HCF of 5137,7935 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5137/213, 7935/5604?
Answer: GCF of Numerators as per given numbers 5137/213, 7935/5604 is
GCF of Numerators i.e. for 5137,7935 is 1
LCM of denominators i.e. for 213,5604 is 397884.
Thus, GCF of Fractions is 1/397884.Finally, GCF of Fractions for 5137/213, 7935/5604 is 1/397884.